Pith Number

pith:F5Z3I7YU

pith:2010:F5Z3I7YUKHEVWAKJA4EXPYADWR

not attested not anchored not stored refs pending

Loose Hamilton Cycles in Random Uniform Hypergraphs

Alan Frieze, Andrzej Dudek

arxiv:1006.1909 v3 · 2010-06-09 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5Z3I7YUKHEVWAKJA4EXPYADWR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Sharp Thresholds for Factors in Random Graphs

Receipt and verification

First computed	2026-05-18T04:28:08.207179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f73b47f1451c95b0149070977e003b479bc160ee001bccca4e01cda377cdc2f

Aliases

arxiv: 1006.1909 · arxiv_version: 1006.1909v3 · doi: 10.48550/arxiv.1006.1909 · pith_short_12: F5Z3I7YUKHEV · pith_short_16: F5Z3I7YUKHEVWAKJ · pith_short_8: F5Z3I7YU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F5Z3I7YUKHEVWAKJA4EXPYADWR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2f73b47f1451c95b0149070977e003b479bc160ee001bccca4e01cda377cdc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf582743c6bc69b43d0fc02cabdc28e4037700a6d76fdd4e7bf1ab9adaed019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-09T21:07:47Z",
    "title_canon_sha256": "2ec66b907b612d9c6466cd37a199060660ac54b64d4863a2b3d8771f09c67ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1909",
    "kind": "arxiv",
    "version": 3
  }
}